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Finding the Third Proportional to 260,623.69 and 571,069.69

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Solution

The third proportional to 260,623.69 and 571,069.69 is: 1,251,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,623.69 : 571,069.69 = 571,069.69 : x
  2. Step 2: Convert to fraction form
    260,623.69/571,069.69 = 571,069.69/x
  3. Step 3: Cross multiply
    260,623.69x = 571,069.69 × 571,069.69
  4. Step 4: Simplify right side
    260,623.69x = 326,120,587,981.35
  5. Step 5: Solve for x
    x = 326,120,587,981.35/260,623.69
  6. Step 6: Final answer
    x = 1,251,308.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.